Finding the Third Proportional to 470 and 526
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Solution
The third proportional to 470 and 526 is: 588.67
Step by Step Solution
- Step 1: Write the proportion equation
470 : 526 = 526 : x - Step 2: Convert to fraction form
470/526 = 526/x - Step 3: Cross multiply
470x = 526 × 526 - Step 4: Simplify right side
470x = 276,676 - Step 5: Solve for x
x = 276,676/470 - Step 6: Final answer
x = 588.67
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.